A385227 Odd multiplicative orders of 4 modulo primes.

1, 3, 5, 9, 11, 5, 7, 23, 29, 33, 35, 9, 39, 41, 11, 51, 53, 7, 65, 69, 15, 81, 83, 89, 95, 99, 105, 37, 113, 29, 119, 25, 131, 135, 35, 47, 51, 155, 15, 21, 173, 179, 183, 189, 191, 209, 43, 73, 221, 231, 233, 239, 243, 245, 83, 251, 261, 273, 281, 57, 293

Offset

1,2

Comments

a(n) is the multiplicative order of 4 modulo A385221(n).

Odd elements in A082654.

Links

Jianing Song, Table of n, a(n) for n = 1..10000

Mathematica

Select[Map[MultiplicativeOrder[4, #] &, Prime[Range[200]]], OddQ] (* Paolo Xausa, Jun 28 2025 *)

Prog

(PARI) forprime(p=3, 1e4, z=znorder(Mod(4, p)); if(z%2, print1(z, ", ")))

Crossrefs

Cf. A082654, A385221 (corresponding primes).

Cf. other bases: A139686 (base 2), A385226 (base 3), this sequence (base 4), A385193 (base 5), A385228 (base -2), A385229 (base -3), A385230 (base -4), A385231 (base -5).

Sequence in context: A335058 A066769 A323765 * A385164 A270780 A386268

Adjacent sequences: A385224 A385225 A385226 * A385228 A385229 A385230

Keyword

nonn,easy

Author

Jianing Song, Jun 22 2025

Status

approved